34 Midterm 1: Version D
- Evaluate: \(3b - \sqrt{b^2-4ac}\) if \(a=4, b=4,\) and \(c=1.\)
- Solve for \(x\) in the equation \(2(x - 4)+8 = -6+3(x+3).\)
- Isolate the variable \(r_2\) in the equation \(\dfrac{1}{R}=\dfrac{1}{r_1}+\dfrac{1}{r_2}.\)
- Solve for \(x\) in the equation \(\dfrac{x}{15} - \dfrac{x-3}{3} = \dfrac{1}{3}.\)
- Write the equation of the horizontal line that passes through the point \((-2, 5).\)
- Find the equation that has a slope of \(\dfrac{2}{3}\) and passes through the point \((-2, 4).\)
- Find the equation of the line passing through the points \((12, -7)\) and \((8, -9).\)
- Graph the relation \(y=\dfrac{2}{3}x-2.\)
For questions 9 to 11, find each solution set and graph it.
- \(-27 \le 6x -9 \le 3\)
- \(\left| \dfrac{2x+2}{6}\right| = 2\)
- \(| 2x-1 | > 6\)
- Graph the relation \(y = |2x| - 1.\)
- For a given triangle, the first and second angles are equal, but the third angle is 10° less than twice the first angle. What are the measures of the three angles?
- Find two consecutive even integers such that their sum is 20 less than the first integer.
- \(y\) varies jointly with \(m\) and the square of \(n\) and inversely with \(d.\) If \(y = 16\) when \(m = 3, n = 4,\) and \(d = 6,\) find the constant \(k,\) then use \(k\) to find \(y\) when \(m = -2, n = 4,\) and \(d = 8.\)
